Analytical inversion of the operator matrix for the problem of diffraction by a cylindrical segment in Sobolev spaces

DOI10.1134/S0965542521030052zbMath1467.45018OpenAlexW3158382404MaRDI QIDQ830962

Sefan I. Eminov

Publication date: 10 May 2021

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542521030052

zbMATH Keywords

Sobolev spacesintegral operatordiffractioninverse matrixcylinderintegro-differential operatoroperator matrixsingular operatorLax-Milgram theorem

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Diffraction, scattering (78A45) Integral operators (45P05) Inverse problems for integral equations (45Q05) Applications of generalized inverses (15A10)

Cites Work

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• Boundary integral equations for screen problems in \({\mathbb{R}}^ 3\)
• An orthonormal basis in Sobolev-Slobodetskii spaces on an interval
• Justification of the Galerkin method for hypersingular equations

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